Least Common Multiple of 989/676, 683/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 989/676, 683/780 quickly i.e. 675487/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 989/676, 683/780 is 675487/52.

LCM(989/676, 683/780) = 675487/52

LCM of 989/676, 683/780

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 989/676,683/780

Given numbers are 989/676,683/780

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 989,683

Least Common Multiple of Numerators i.e. LCM of 989,683 is 675487.

GCF of Denominators means GCF of 676,780 as per the given fractions.

GCF of 676,780 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 989,683

LCM of Fractions 989/676,683/780 is 675487/52

Given numbers has no common factors except 1. So, there LCM is their product i.e 675487

Least Common Multiple of 989,683 with GCF Formula

Least Common Multiple of 989,683 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 989,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,683) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(989,683) x common factors =1 x 1 = 1

LCM(989,683) = ( 989 × 683 ) / 1

LCM(989,683) = 675487 / 1

LCM(989,683) = 675487


Lets's calculate GCF of 676,780

2 676, 780
2 338, 390
13 169, 195
13, 15

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675487/52

Therefore the LCM of Fractions 989/676,683/780 is 675487/52

Greatest Common Factor of 676,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,780 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 676,780 . The biggest common factor number is the GCF number.
So the greatest common factor 676,780 is 52.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 989/676, 683/780

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 989/676, 683/780?

Answer: LCM of Numerators as per given numbers 989/676, 683/780 is

LCM of Numerators i.e. for 989,683 is 675487

GCF of denominators i.e. for 676,780 is 52.

Thus, LCM of Fractions is 675487/52.Finally, LCM of Fractions for 989/676, 683/780 is 675487/52.